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pro vyhledávání: '"Devaney, A"'
Autor:
Zhao, Yingcui
In this paper, we introduce the definitions of periodic point, transitivity, sensitivity and Devaney chaos of multiple mappings from a set-valued perspective. We study the relation between multiple mappings and its continuous self-maps and show that
Externí odkaz:
http://arxiv.org/abs/2311.03715
We study relationships between a set-valued map and its inverse limits about the notion of periodic point set, transitivity, sensitivity and Devaney chaos. Density of periodic point set of a set-valued map and its inverse limits implies each other. S
Externí odkaz:
http://arxiv.org/abs/2210.13719
Publikováno v:
Topology and its Applications, 2023 (326), Article ID 108406, 15 p
In this paper, for finite discrete field $F$, nonempty set $\Gamma$, weight vector $\mathfrak{w}=({\mathfrak w}_\alpha)_{\alpha\in\Gamma}\in F^\Gamma$ and weighted generalized shift $\sigma_{\varphi,{\mathfrak w}}:F^\Gamma\to F^\Gamma$, we find neces
Externí odkaz:
http://arxiv.org/abs/2204.07950
Publikováno v:
In Applied Mathematical Modelling August 2023 120:153-174
Publikováno v:
In Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena July 2023 172
Autor:
Ghosh, Indranil, Simpson, David J. W.
The collection of all non-degenerate, continuous, two-piece, piecewise-linear maps on $\mathbb{R}^2$ can be reduced to a four-parameter family known as the two-dimensional border-collision normal form. We prove that throughout an open region of param
Externí odkaz:
http://arxiv.org/abs/2111.12893
Publikováno v:
In Topology and its Applications 1 March 2023 326
Autor:
Volna, Barbora
We show that the existence of a dense set of periodic points for a topologically transitive non-minimal continuous group action on a Hausdorff uniform space with an infinite acting group does not necessarily imply a sensitive dependence to the initia
Externí odkaz:
http://arxiv.org/abs/2011.13975
Autor:
Lenarduzzi, Fernando
In this work we are going to consider the classical H\'enon-Devaney map given by \begin{eqnarray*} f: \mathbb{R}^2\setminus \{y=0\} &\rightarrow& \mathbb{R}^2 \\ (x,y) &\mapsto& \left(x+\dfrac{1}{y}, y-\dfrac{1}{y}-x\right) \end{eqnarray*} We are goi
Externí odkaz:
http://arxiv.org/abs/1912.06293
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